1253310240 has 288 divisors, whose sum is σ = 4946961600. Its totient is φ = 264370176.

The previous prime is 1253310229. The next prime is 1253310269. The reversal of 1253310240 is 420133521.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303711 + ... + 307809.

It is an arithmetic number, because the mean of its divisors is an integer number (17176950).

Almost surely, 2^1253310240 is an apocalyptic number.

1253310240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473480800).

1253310240 is an abundant number, since it is smaller than the sum of its proper divisors (3693651360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1253310240 is a wasteful number, since it uses less digits than its factorization.

1253310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1253310240 is about 35402.1219703000. The cubic root of 1253310240 is about 1078.1673996516.

Adding to 1253310240 its reverse (420133521), we get a palindrome (1673443761).

The spelling of 1253310240 in words is "one billion, two hundred fifty-three million, three hundred ten thousand, two hundred forty".